A FIXED POINT APPROACH TO THE STABILITY OF A GENERALIZED APOLLONIUS TYPE QUADRATIC FUNCTIONAL EQUATION

doi:10.1016/S0252-9602(11)60341-X

摘要/Abstract

摘要：

Using the fixed point method, this article proves the Hyers-Ulam-Rassias sta-bility of a generalized Apollonius type quadratic functional equation in Banach spaces. The conditions of these results are demonstrated by the quadratic functional equation of Apollonius type.

关键词: fixed point, fixed point method, Hyers-Ulam-Rassias stability, quadratic mapping of Apollonius type

Abstract:

Key words: fixed point, fixed point method, Hyers-Ulam-Rassias stability, quadratic mapping of Apollonius type

中图分类号:

39B52

王志华. A FIXED POINT APPROACH TO THE STABILITY OF A GENERALIZED APOLLONIUS TYPE QUADRATIC FUNCTIONAL EQUATION[J]. 数学物理学报(英文版), 2011, 31(4): 1553-1560.

WANG Zhi-Hua. A FIXED POINT APPROACH TO THE STABILITY OF A GENERALIZED APOLLONIUS TYPE QUADRATIC FUNCTIONAL EQUATION[J]. Acta mathematica scientia,Series B, 2011, 31(4): 1553-1560.

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